What is the Least Common Multiple of 97856 and 97874?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 97856 and 97874 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97856 and 97874, than apply into the LCM equation.

GCF(97856,97874) = 2
LCM(97856,97874) = ( 97856 × 97874) / 2
LCM(97856,97874) = 9577558144 / 2
LCM(97856,97874) = 4788779072

Least Common Multiple (LCM) of 97856 and 97874 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97856 and 97874. First we will calculate the prime factors of 97856 and 97874.

Prime Factorization of 97856

Prime Factorization of 97874

Now multiplying the highest exponent prime factors to calculate the LCM of 97856 and 97874.

LCM(97856,97874) = 2⁶ × 11¹ × 139¹ × 7¹ × 6991¹
LCM(97856,97874) = 4788779072